Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 54, No. 3, pp. 287-310 (1997)

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An Algebra of Abstract Vector Variables

F. Sommen

University of Gent, Department of Mathematical Analysis,
Galglaan 2, B-9000 Gent - BELGIUM

Abstract: In this paper we introduce an abstract algebra of vector variables that generalizes both polynomial algebra and Clifford algebra. This abstractly defined algebra and its endomorphisms contains all the basic $SO(m)$-invariant polynomials and operators used in Clifford analysis.

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